Degond, P.; Frouvelle, A.; Merino-Aceituno, S.; Trescases, A. Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies. (English) Zbl 07776362 Q. Appl. Math. 82, No. 1, 35-64 (2024). MSC: 35L60 35L65 35L67 76L05 PDFBibTeX XMLCite \textit{P. Degond} et al., Q. Appl. Math. 82, No. 1, 35--64 (2024; Zbl 07776362) Full Text: DOI arXiv
Cao, Gaowei; Chen, Gui-Qiang G. Minimal entropy conditions for scalar conservation laws with general convex fluxes. (English) Zbl 1522.35330 Q. Appl. Math. 81, No. 3, 567-598 (2023). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35A02 35D40 35F21 35F25 35L67 PDFBibTeX XMLCite \textit{G. Cao} and \textit{G.-Q. G. Chen}, Q. Appl. Math. 81, No. 3, 567--598 (2023; Zbl 1522.35330) Full Text: DOI arXiv
Vasseur, Alexis F. A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws. (English) Zbl 1516.35266 Q. Appl. Math. 81, No. 3, 553-565 (2023). MSC: 35L65 35B35 35L45 35Q31 76N15 PDFBibTeX XMLCite \textit{A. F. Vasseur}, Q. Appl. Math. 81, No. 3, 553--565 (2023; Zbl 1516.35266) Full Text: DOI
Freistühler, Heinrich A causal formulation of dissipative relativistic fluid dynamics with or without diffusion. (English) Zbl 1523.35244 Q. Appl. Math. 81, No. 3, 507-515 (2023). Reviewer: Song Jiang (Beijing) MSC: 35Q35 35Q75 76Y05 83C55 35L65 35L60 PDFBibTeX XMLCite \textit{H. Freistühler}, Q. Appl. Math. 81, No. 3, 507--515 (2023; Zbl 1523.35244) Full Text: DOI arXiv
Liu, Tai-Ping Partial dissipation and sub-shock. (English) Zbl 07693211 Q. Appl. Math. 81, No. 3, 483-506 (2023). MSC: 35L65 35L67 76N10 PDFBibTeX XMLCite \textit{T.-P. Liu}, Q. Appl. Math. 81, No. 3, 483--506 (2023; Zbl 07693211) Full Text: DOI
Bolbot, Daria; Mitsotakis, Dimitrios; Tzavaras, Athanasios E. Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics. (English) Zbl 1516.35267 Q. Appl. Math. 81, No. 3, 455-481 (2023). MSC: 35L67 35L65 35Q40 74J40 76N30 PDFBibTeX XMLCite \textit{D. Bolbot} et al., Q. Appl. Math. 81, No. 3, 455--481 (2023; Zbl 1516.35267) Full Text: DOI arXiv
Ancona, Fabio; Bianchini, Stefano; Bressan, Alberto; Colombo, Rinaldo M.; Nguyen, Khai T. Examples and conjectures on the regularity of solutions to balance laws. (English) Zbl 1517.35134 Q. Appl. Math. 81, No. 3, 433-454 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35B65 35L03 35L67 PDFBibTeX XMLCite \textit{F. Ancona} et al., Q. Appl. Math. 81, No. 3, 433--454 (2023; Zbl 1517.35134) Full Text: DOI
Freistühler, Heinrich Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics. (English) Zbl 1501.76065 Q. Appl. Math. 80, No. 3, 597-606 (2022). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76N10 76N06 35Q30 35L60 35L65 PDFBibTeX XMLCite \textit{H. Freistühler}, Q. Appl. Math. 80, No. 3, 597--606 (2022; Zbl 1501.76065) Full Text: DOI
Cao, Xiaxia; Yong, Wen-An Construction of boundary conditions for hyperbolic relaxation approximations. II: Jin-Xin relaxation model. (English) Zbl 1496.35244 Q. Appl. Math. 80, No. 4, 787-816 (2022). MSC: 35L50 35L65 35C20 PDFBibTeX XMLCite \textit{X. Cao} and \textit{W.-A. Yong}, Q. Appl. Math. 80, No. 4, 787--816 (2022; Zbl 1496.35244) Full Text: DOI arXiv
Barthwal, Rahul; Sekhar, T. Raja Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution. (English) Zbl 1496.35249 Q. Appl. Math. 80, No. 4, 717-738 (2022). MSC: 35L65 35L03 35L40 35L67 74K35 PDFBibTeX XMLCite \textit{R. Barthwal} and \textit{T. R. Sekhar}, Q. Appl. Math. 80, No. 4, 717--738 (2022; Zbl 1496.35249) Full Text: DOI
Ahn, Hyunjin; Ha, Seung-Yeal; Kim, Doheon; Schlöder, Franz Wilhelm; Shim, Woojoo The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds. (English) Zbl 1491.58011 Q. Appl. Math. 80, No. 3, 403-450 (2022). Reviewer: Gabor Etesi (Budapest) MSC: 58J45 35L65 PDFBibTeX XMLCite \textit{H. Ahn} et al., Q. Appl. Math. 80, No. 3, 403--450 (2022; Zbl 1491.58011) Full Text: DOI
Ohwa, Hiroki An \(L^p\) shock admissibility condition for conservation laws. (English) Zbl 1487.35249 Q. Appl. Math. 80, No. 2, 259-275 (2022). Reviewer: Vincent Duchêne (Rennes) MSC: 35L65 35L45 35L67 47H20 PDFBibTeX XMLCite \textit{H. Ohwa}, Q. Appl. Math. 80, No. 2, 259--275 (2022; Zbl 1487.35249) Full Text: DOI
Mussel, Matan; Slemrod, Marshall Conservation laws in biology: two new applications. (English) Zbl 1465.92016 Q. Appl. Math. 79, No. 3, 479-492 (2021). Reviewer: Carlo Laing (Auckland) MSC: 92C20 92C37 35L65 53C42 53Z10 PDFBibTeX XMLCite \textit{M. Mussel} and \textit{M. Slemrod}, Q. Appl. Math. 79, No. 3, 479--492 (2021; Zbl 1465.92016) Full Text: DOI
Parmeshwar, Shrish; Hadžić, Mahir; Jang, Juhi Global expanding solutions of compressible Euler equations with small initial densities. (English) Zbl 1464.35202 Q. Appl. Math. 79, No. 2, 273-334 (2021). MSC: 35Q31 35L65 35A01 76N10 76N15 35R35 PDFBibTeX XMLCite \textit{S. Parmeshwar} et al., Q. Appl. Math. 79, No. 2, 273--334 (2021; Zbl 1464.35202) Full Text: DOI arXiv
Christoforou, Cleopatra The relative entropy method for inhomogeneous systems of balance laws. (English) Zbl 1461.35151 Q. Appl. Math. 79, No. 2, 201-227 (2021). MSC: 35L65 35L45 35A02 35B35 35D40 35Q74 35Q35 35K45 PDFBibTeX XMLCite \textit{C. Christoforou}, Q. Appl. Math. 79, No. 2, 201--227 (2021; Zbl 1461.35151) Full Text: DOI
Bank, Miriam; Ben-Artzi, Matania; Schonbek, Maria E. Viscous conservation laws in 1D with measure initial data. (English) Zbl 1456.35101 Q. Appl. Math. 79, No. 1, 103-124 (2021). MSC: 35K15 35K59 35R60 35L65 35B45 PDFBibTeX XMLCite \textit{M. Bank} et al., Q. Appl. Math. 79, No. 1, 103--124 (2021; Zbl 1456.35101) Full Text: DOI arXiv
Gao, Yu; Gao, Yuan; Liu, Jian-Guo Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation. (English) Zbl 1456.35033 Q. Appl. Math. 79, No. 1, 55-102 (2021). MSC: 35B40 35L65 35R60 82B40 15B52 35B09 PDFBibTeX XMLCite \textit{Y. Gao} et al., Q. Appl. Math. 79, No. 1, 55--102 (2021; Zbl 1456.35033) Full Text: DOI arXiv
Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. (English) Zbl 1440.35209 Q. Appl. Math. 78, No. 3, 431-467 (2020). MSC: 35L65 35L67 76T10 76T15 PDFBibTeX XMLCite \textit{M. Hantke} et al., Q. Appl. Math. 78, No. 3, 431--467 (2020; Zbl 1440.35209) Full Text: DOI
Minhajul; Sekhar, T. Raja Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows. (English) Zbl 1428.35389 Q. Appl. Math. 77, No. 3, 671-688 (2019). MSC: 35Q35 35L45 35L65 58J45 35L67 76T10 76L05 PDFBibTeX XMLCite \textit{Minhajul} and \textit{T. R. Sekhar}, Q. Appl. Math. 77, No. 3, 671--688 (2019; Zbl 1428.35389) Full Text: DOI
Barker, Blake; Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Balanced flux formulations for multidimensional Evans-function computations for viscous shocks. (English) Zbl 1398.35160 Q. Appl. Math. 76, No. 3, 531-545 (2018). Reviewer: K. N. Shukla (Gurgaon) MSC: 35Q35 76L05 35P20 34L15 PDFBibTeX XMLCite \textit{B. Barker} et al., Q. Appl. Math. 76, No. 3, 531--545 (2018; Zbl 1398.35160) Full Text: DOI arXiv
Matos, Vítor; Marchesin, Dan Compositional flow in porous media: Riemann problem for three alkanes. (English) Zbl 1373.35249 Q. Appl. Math. 75, No. 4, 737-767 (2017). MSC: 35Q35 35L65 76S05 76T30 35B32 PDFBibTeX XMLCite \textit{V. Matos} and \textit{D. Marchesin}, Q. Appl. Math. 75, No. 4, 737--767 (2017; Zbl 1373.35249) Full Text: DOI
Sen, Anupam; Sekhar, T. Raja; Sharma, V. D. Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws. (English) Zbl 1362.35185 Q. Appl. Math. 75, No. 3, 539-554 (2017). MSC: 35L65 35L45 58J45 35Q35 35L67 35B35 PDFBibTeX XMLCite \textit{A. Sen} et al., Q. Appl. Math. 75, No. 3, 539--554 (2017; Zbl 1362.35185) Full Text: DOI
Westdickenberg, Michael Euler-Lagrange equation for a minimization problem over monotone transport maps. (English) Zbl 1356.35137 Q. Appl. Math. 75, No. 2, 267-285 (2017). MSC: 35L65 49J40 82C40 35Q31 PDFBibTeX XMLCite \textit{M. Westdickenberg}, Q. Appl. Math. 75, No. 2, 267--285 (2017; Zbl 1356.35137) Full Text: DOI
Khorsandi, Saeid; Shen, Wen; Johns, Russell T. Global Riemann solver and front tracking approximation of three-component gas floods. (English) Zbl 1353.35202 Q. Appl. Math. 74, No. 4, 607-632 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35L65 35F55 35Q35 35A35 35L67 PDFBibTeX XMLCite \textit{S. Khorsandi} et al., Q. Appl. Math. 74, No. 4, 607--632 (2016; Zbl 1353.35202) Full Text: DOI
Li, Yingwei Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves. (English) Zbl 1347.35167 Q. Appl. Math. 74, No. 3, 499-538 (2016). MSC: 35L67 35B35 35L65 PDFBibTeX XMLCite \textit{Y. Li}, Q. Appl. Math. 74, No. 3, 499--538 (2016; Zbl 1347.35167) Full Text: DOI arXiv
Romenski, Evgeniy; Belozerov, Alexander A.; Peshkov, Ilya M. Conservative formulation for compressible multiphase flows. (English) Zbl 1336.35305 Q. Appl. Math. 74, No. 1, 113-136 (2016). MSC: 35Q35 35L65 76T30 76M12 PDFBibTeX XMLCite \textit{E. Romenski} et al., Q. Appl. Math. 74, No. 1, 113--136 (2016; Zbl 1336.35305) Full Text: DOI arXiv
Ha, Youngsoo; Kim, Yong-Jung The fundamental solution of a conservation law without convexity. (English) Zbl 1339.35180 Q. Appl. Math. 73, No. 4, 661-678 (2015). MSC: 35L65 35L67 76L05 35A08 PDFBibTeX XMLCite \textit{Y. Ha} and \textit{Y.-J. Kim}, Q. Appl. Math. 73, No. 4, 661--678 (2015; Zbl 1339.35180) Full Text: DOI
Bazan, Aldo; Loreti, Paola; Neves, Wladimir Multi-time systems of conservation laws. (English) Zbl 1302.35243 Q. Appl. Math. 72, No. 3, 491-511 (2014). MSC: 35L65 35F21 PDFBibTeX XMLCite \textit{A. Bazan} et al., Q. Appl. Math. 72, No. 3, 491--511 (2014; Zbl 1302.35243) Full Text: DOI arXiv
Yang, Hui; Yin, Huicheng A Liouville-type theorem for subsonic flows around an infinite long ramp. (English) Zbl 1292.35065 Q. Appl. Math. 72, No. 2, 253-265 (2014). MSC: 35B53 35L65 35L67 76N15 PDFBibTeX XMLCite \textit{H. Yang} and \textit{H. Yin}, Q. Appl. Math. 72, No. 2, 253--265 (2014; Zbl 1292.35065) Full Text: DOI
Bialy, Misha Richness or semi-Hamiltonicity of quasi-linear systems that are not in evolution form. (English) Zbl 1282.35235 Q. Appl. Math. 71, No. 4, 787-796 (2013). MSC: 35L65 35L67 70H06 35L60 35B44 PDFBibTeX XMLCite \textit{M. Bialy}, Q. Appl. Math. 71, No. 4, 787--796 (2013; Zbl 1282.35235) Full Text: DOI arXiv
Felaco, Elisabetta; Rubino, Bruno; Sampalmieri, Rosella Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point. (English) Zbl 1282.35237 Q. Appl. Math. 71, No. 4, 629-659 (2013). MSC: 35L65 35L80 35L45 PDFBibTeX XMLCite \textit{E. Felaco} et al., Q. Appl. Math. 71, No. 4, 629--659 (2013; Zbl 1282.35237) Full Text: DOI
Bae, Myoungjean; Chen, Gui-Qiang; Feldman, Mikhail Prandtl-Meyer reflection for supersonic flow past a solid ramp. (English) Zbl 1275.35146 Q. Appl. Math. 71, No. 3, 583-600 (2013). MSC: 35L67 35M10 35M12 35L65 35L70 35J70 76H05 35R35 35L15 35L20 35J67 76N10 76L05 35B35 PDFBibTeX XMLCite \textit{M. Bae} et al., Q. Appl. Math. 71, No. 3, 583--600 (2013; Zbl 1275.35146) Full Text: DOI arXiv
Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. (English) Zbl 1277.80009 Q. Appl. Math. 71, No. 3, 509-540 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 80A22 76N10 35L45 35L65 PDFBibTeX XMLCite \textit{M. Hantke} et al., Q. Appl. Math. 71, No. 3, 509--540 (2013; Zbl 1277.80009) Full Text: DOI
Christoforou, Cleopatra; Spinolo, Laura V. Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems. (English) Zbl 1335.35153 Q. Appl. Math. 71, No. 3, 433-453 (2013). Reviewer: Jörg Härterich (Bochum) MSC: 35L65 35L67 35L50 34D15 35K51 35B25 PDFBibTeX XMLCite \textit{C. Christoforou} and \textit{L. V. Spinolo}, Q. Appl. Math. 71, No. 3, 433--453 (2013; Zbl 1335.35153) Full Text: DOI arXiv
Ohwa, Hiroki On the existence of strong travelling wave profiles to \(2\times 2\) systems of viscous conservation laws. (English) Zbl 1267.35068 Q. Appl. Math. 71, No. 2, 283-288 (2013). MSC: 35C07 35L65 35L45 PDFBibTeX XMLCite \textit{H. Ohwa}, Q. Appl. Math. 71, No. 2, 283--288 (2013; Zbl 1267.35068) Full Text: DOI
Asakura, Fumioki; Corli, Andrea Global existence of solutions by path decomposition for a model of multiphase flow. (English) Zbl 1264.35140 Q. Appl. Math. 71, No. 1, 135-182 (2013). MSC: 35L65 35D30 76T30 35L67 PDFBibTeX XMLCite \textit{F. Asakura} and \textit{A. Corli}, Q. Appl. Math. 71, No. 1, 135--182 (2013; Zbl 1264.35140) Full Text: DOI
Keyfitz, Barbara Lee; Tesdall, Allen M.; Payne, Kevin R.; Popivanov, Nedyu I. The sonic line as a free boundary. (English) Zbl 1263.35159 Q. Appl. Math. 71, No. 1, 119-133 (2013). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35M30 76H05 35R35 42A38 35Q31 PDFBibTeX XMLCite \textit{B. L. Keyfitz} et al., Q. Appl. Math. 71, No. 1, 119--133 (2013; Zbl 1263.35159) Full Text: DOI
Frid, Hermano Remarks on the theory of the divergence-measure fields. (English) Zbl 1499.35176 Q. Appl. Math. 70, No. 3, 579-596 (2012). MSC: 35F20 26B20 28C05 35L65 PDFBibTeX XMLCite \textit{H. Frid}, Q. Appl. Math. 70, No. 3, 579--596 (2012; Zbl 1499.35176) Full Text: DOI
Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen Lipschitz semigroup for an integro-differential equation for slow erosion. (English) Zbl 1250.35175 Q. Appl. Math. 70, No. 3, 539-578 (2012). MSC: 35R09 35L65 35L67 35Q70 35L60 35L03 47D06 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., Q. Appl. Math. 70, No. 3, 539--578 (2012; Zbl 1250.35175) Full Text: DOI
Bressan, Alberto; Liu, Chen Jie; Shen, Wen; Yu, Fang Variational analysis of Nash equilibria for a model of traffic flow. (English) Zbl 1250.35173 Q. Appl. Math. 70, No. 3, 495-515 (2012). MSC: 35Q93 35L65 49J21 49N70 49N90 90B20 PDFBibTeX XMLCite \textit{A. Bressan} et al., Q. Appl. Math. 70, No. 3, 495--515 (2012; Zbl 1250.35173) Full Text: DOI
Keyfitz, Barbara Lee; Tsikkou, Charis Conserving the wrong variables in gas dynamics: A Riemann solution with singular shocks. (English) Zbl 1250.35142 Q. Appl. Math. 70, No. 3, 407-436 (2012). MSC: 35L65 35L67 34E15 34C37 35C06 35B44 76N15 PDFBibTeX XMLCite \textit{B. L. Keyfitz} and \textit{C. Tsikkou}, Q. Appl. Math. 70, No. 3, 407--436 (2012; Zbl 1250.35142) Full Text: DOI
Ohwa, Hiroki Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy. (English) Zbl 1243.35116 Q. Appl. Math. 70, No. 2, 345-356 (2012). MSC: 35L45 35L65 35L67 PDFBibTeX XMLCite \textit{H. Ohwa}, Q. Appl. Math. 70, No. 2, 345--356 (2012; Zbl 1243.35116) Full Text: DOI
Gang, Xu; Huicheng, Yin Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone. (English) Zbl 1252.35201 Q. Appl. Math. 70, No. 2, 199-218 (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35L67 76N15 35L65 35Q31 35L72 35A01 PDFBibTeX XMLCite \textit{X. Gang} and \textit{Y. Huicheng}, Q. Appl. Math. 70, No. 2, 199--218 (2012; Zbl 1252.35201) Full Text: DOI
Danilov, V. G.; Mitrovic, D. Shock wave formation process for a multidimensional scalar conservation law. (English) Zbl 1229.35138 Q. Appl. Math. 69, No. 4, 613-634 (2011). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{D. Mitrovic}, Q. Appl. Math. 69, No. 4, 613--634 (2011; Zbl 1229.35138) Full Text: DOI
Sun, Meina Delta shock waves for the chromatography equations as self-similar viscosity limits. (English) Zbl 1237.35114 Q. Appl. Math. 69, No. 3, 425-443 (2011). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 35L65 35B30 35C06 PDFBibTeX XMLCite \textit{M. Sun}, Q. Appl. Math. 69, No. 3, 425--443 (2011; Zbl 1237.35114) Full Text: DOI Link
Tsikkou, Charis Hyperbolic conservation laws with large initial data. Is the Cauchy problem well-posed? (English) Zbl 1218.35135 Q. Appl. Math. 68, No. 4, 765-781 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L45 35L65 35B35 35L60 PDFBibTeX XMLCite \textit{C. Tsikkou}, Q. Appl. Math. 68, No. 4, 765--781 (2010; Zbl 1218.35135) Full Text: DOI Link
Chen, Shuxing Mixed type equations in gas dynamics. (English) Zbl 1202.35139 Q. Appl. Math. 68, No. 3, 487-511 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35M10 35L65 35L67 76H05 PDFBibTeX XMLCite \textit{S. Chen}, Q. Appl. Math. 68, No. 3, 487--511 (2010; Zbl 1202.35139) Full Text: DOI Link
Azevedo, Arthur V.; Eschenazi, Cesar S.; Marchesin, Dan; Palmeira, Carlos F. B. Topological resolution of Riemann problems for pairs of conservation laws. (English) Zbl 1197.35161 Q. Appl. Math. 68, No. 2, 375-393 (2010). MSC: 35L65 58J45 35L60 57R99 35L67 PDFBibTeX XMLCite \textit{A. V. Azevedo} et al., Q. Appl. Math. 68, No. 2, 375--393 (2010; Zbl 1197.35161) Full Text: DOI Link
D’Apice, C.; Manzo, R.; Piccoli, B. Modelling supply networks with partial differential equations. (English) Zbl 1222.35120 Q. Appl. Math. 67, No. 3, 419-440 (2009). MSC: 35L65 90B30 PDFBibTeX XMLCite \textit{C. D'Apice} et al., Q. Appl. Math. 67, No. 3, 419--440 (2009; Zbl 1222.35120) Full Text: DOI Link
Pandey, Manoj; Sharma, V. D. Kinematics of a shock wave of arbitrary strength in a non-ideal gas. (English) Zbl 1178.35239 Q. Appl. Math. 67, No. 3, 401-418 (2009). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L50 35L67 35L65 76L05 PDFBibTeX XMLCite \textit{M. Pandey} and \textit{V. D. Sharma}, Q. Appl. Math. 67, No. 3, 401--418 (2009; Zbl 1178.35239) Full Text: DOI Link
Nedeljkov, Marko Singular shock waves in interactions. (English) Zbl 1148.35051 Q. Appl. Math. 66, No. 2, 281-302 (2008). MSC: 35L67 35L65 PDFBibTeX XMLCite \textit{M. Nedeljkov}, Q. Appl. Math. 66, No. 2, 281--302 (2008; Zbl 1148.35051) Full Text: DOI arXiv Link
Aregba-Driollet, Denise; Bretti, Gabriella; Natalini, Roberto Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media. (English) Zbl 1359.76216 Q. Appl. Math. 66, No. 2, 201-231 (2008). MSC: 76M25 76S05 35L70 35L20 PDFBibTeX XMLCite \textit{D. Aregba-Driollet} et al., Q. Appl. Math. 66, No. 2, 201--231 (2008; Zbl 1359.76216) Full Text: DOI Link
Martin, S.; Vovelle, J. Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. (English) Zbl 1142.35512 Q. Appl. Math. 65, No. 3, 425-450 (2007). MSC: 35L65 35B40 35L50 PDFBibTeX XMLCite \textit{S. Martin} and \textit{J. Vovelle}, Q. Appl. Math. 65, No. 3, 425--450 (2007; Zbl 1142.35512) Full Text: DOI
Romenski, E.; Resnyansky, A. D.; Toro, E. F. Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. (English) Zbl 1145.35430 Q. Appl. Math. 65, No. 2, 259-279 (2007). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 76T99 80A20 PDFBibTeX XMLCite \textit{E. Romenski} et al., Q. Appl. Math. 65, No. 2, 259--279 (2007; Zbl 1145.35430) Full Text: DOI
Tsuge, Naoki Large time decay of solutions to isentropic gas dynamics. (English) Zbl 1132.35015 Q. Appl. Math. 65, No. 1, 135-143 (2007). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35B40 35L60 35L65 PDFBibTeX XMLCite \textit{N. Tsuge}, Q. Appl. Math. 65, No. 1, 135--143 (2007; Zbl 1132.35015) Full Text: DOI
Neves, Wladimir; Serre, Denis The incompleteness of the Born-Infeld model for nonlinear multi-D Maxwell’s equations. (English) Zbl 1100.35102 Q. Appl. Math. 63, No. 2, 343-367 (2005). Reviewer: Eric Sonnendrücker (Strasbourg) MSC: 35Q60 78A25 35L65 PDFBibTeX XMLCite \textit{W. Neves} and \textit{D. Serre}, Q. Appl. Math. 63, No. 2, 343--367 (2005; Zbl 1100.35102) Full Text: DOI
Dias, João-Paulo; Figueira, Mário On the viscous Cauchy problem and the existence of shock profiles for a \(p\)-system with a discontinuous stress function. (English) Zbl 1085.35101 Q. Appl. Math. 63, No. 2, 335-341 (2005). Reviewer: V. D. Sharma (Mumbai) MSC: 35L67 35L65 76L05 74D05 PDFBibTeX XMLCite \textit{J.-P. Dias} and \textit{M. Figueira}, Q. Appl. Math. 63, No. 2, 335--341 (2005; Zbl 1085.35101) Full Text: DOI
Asakura, Fumioki Wave-front tracking for the equations of isentropic gas dynamics. (English) Zbl 1074.35068 Q. Appl. Math. 63, No. 1, 20-33 (2005). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35L65 35L67 76N10 76N15 PDFBibTeX XMLCite \textit{F. Asakura}, Q. Appl. Math. 63, No. 1, 20--33 (2005; Zbl 1074.35068) Full Text: DOI Link
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael Minimal entropy cnditions for Burgers equation. (English) Zbl 1211.35184 Q. Appl. Math. 62, No. 4, 687-700 (2004). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{C. De Lellis} et al., Q. Appl. Math. 62, No. 4, 687--700 (2004; Zbl 1211.35184) Full Text: DOI
Liu, Hongxia; Pan, Tao \(L^1\)-convergence rate of viscosity methods for scalar conservation laws with the interaction of elementary waves and the boundary. (English) Zbl 1211.35188 Q. Appl. Math. 62, No. 4, 601-621 (2004). MSC: 35L65 65M15 PDFBibTeX XMLCite \textit{H. Liu} and \textit{T. Pan}, Q. Appl. Math. 62, No. 4, 601--621 (2004; Zbl 1211.35188) Full Text: DOI
Colombo, Rinaldo M.; Corli, Andrea Stability of the Riemann semigroup with respect to the kinetic condition. (English) Zbl 1071.35082 Q. Appl. Math. 62, No. 3, 541-551 (2004). MSC: 35L65 82B26 35B30 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{A. Corli}, Q. Appl. Math. 62, No. 3, 541--551 (2004; Zbl 1071.35082) Full Text: DOI
Lattanzio, Corrado; Rubino, Bruno Asymptotic behavior and strong convergence for hyperbolic systems of conservation laws with damping. (English) Zbl 1069.35040 Q. Appl. Math. 62, No. 3, 529-540 (2004). MSC: 35L65 35L40 76R50 PDFBibTeX XMLCite \textit{C. Lattanzio} and \textit{B. Rubino}, Q. Appl. Math. 62, No. 3, 529--540 (2004; Zbl 1069.35040) Full Text: DOI
Ding, Yi; Huang, Feimin On a nonhomogeneous system of pressureless flow. (English) Zbl 1064.35112 Q. Appl. Math. 62, No. 3, 509-528 (2004). MSC: 35L65 82C21 35L45 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{F. Huang}, Q. Appl. Math. 62, No. 3, 509--528 (2004; Zbl 1064.35112) Full Text: DOI
Ruggeri, Tommaso; Serre, Denis Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. (English) Zbl 1068.35067 Q. Appl. Math. 62, No. 1, 163-179 (2004). Reviewer: Jong Kyu Kim (Masan Kyungnam) MSC: 35L65 35B35 35L60 82C05 PDFBibTeX XMLCite \textit{T. Ruggeri} and \textit{D. Serre}, Q. Appl. Math. 62, No. 1, 163--179 (2004; Zbl 1068.35067) Full Text: DOI
Kreiss, Gunilla; Efraimsson, Gunilla Approximate solutions to slightly viscous conservation laws. (English) Zbl 1049.35067 Q. Appl. Math. 62, No. 1, 117-133 (2004). Reviewer: Evgeniy Panov (Novgorod) MSC: 35C20 35L65 35L67 35K55 PDFBibTeX XMLCite \textit{G. Kreiss} and \textit{G. Efraimsson}, Q. Appl. Math. 62, No. 1, 117--133 (2004; Zbl 1049.35067) Full Text: DOI
Fan, Haitao; Jin, Shi Front motion in multi-dimensional viscous conservation laws with stiff source terms driven by mean curvature and variation of front thickness. (English) Zbl 1041.35029 Q. Appl. Math. 61, No. 4, 701-721 (2003). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35K57 35L65 80A32 53A10 35B25 PDFBibTeX XMLCite \textit{H. Fan} and \textit{S. Jin}, Q. Appl. Math. 61, No. 4, 701--721 (2003; Zbl 1041.35029) Full Text: DOI
Humpherys, Jeffrey Stability of Jin-Xin relaxation shocks. (English) Zbl 1037.35046 Q. Appl. Math. 61, No. 2, 251-263 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L67 35L60 35L65 35B35 PDFBibTeX XMLCite \textit{J. Humpherys}, Q. Appl. Math. 61, No. 2, 251--263 (2003; Zbl 1037.35046) Full Text: DOI
Hanche-Olsen, Harald; Holden, Helge; Risebro, Nils Henrik The Riemann problem for an elastic string with a linear Hooke’s law. (English) Zbl 1032.35133 Q. Appl. Math. 60, No. 4, 695-705 (2002). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35L67 74H45 35L65 74K05 PDFBibTeX XMLCite \textit{H. Hanche-Olsen} et al., Q. Appl. Math. 60, No. 4, 695--705 (2002; Zbl 1032.35133) Full Text: DOI
Reiff, Andrea M. Existence of weak solutions to the elastic string equations in three dimensions. (English) Zbl 1036.35133 Q. Appl. Math. 60, No. 3, 401-424 (2002). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 74K05 PDFBibTeX XMLCite \textit{A. M. Reiff}, Q. Appl. Math. 60, No. 3, 401--424 (2002; Zbl 1036.35133) Full Text: DOI
Xin, Zhouping; Xu, Wen-Qing Initial-boundary value problem to systems of conservation laws with relaxation. (English) Zbl 1032.35130 Q. Appl. Math. 60, No. 2, 251-281 (2002). Reviewer: Nickolaj A.Lar’kin (Maringa) MSC: 35L65 35B30 35L50 35B25 PDFBibTeX XMLCite \textit{Z. Xin} and \textit{W.-Q. Xu}, Q. Appl. Math. 60, No. 2, 251--281 (2002; Zbl 1032.35130) Full Text: DOI Link
Zheng, Songmu; Qin, Yuming Maximal attractor for the system of one-dimensional polytropic viscous ideal gas. (English) Zbl 1172.35335 Q. Appl. Math. 59, No. 3, 579-599 (2001). Reviewer: Song Jiang (Beijing) MSC: 35B41 76D03 35L65 35B40 35B30 PDFBibTeX XMLCite \textit{S. Zheng} and \textit{Y. Qin}, Q. Appl. Math. 59, No. 3, 579--599 (2001; Zbl 1172.35335) Full Text: DOI
Kim, Yong Jung A self-similar viscosity approach for the Riemann problem in isentropic gas dynamics and the structure of the solutions. (English) Zbl 1038.35072 Q. Appl. Math. 59, No. 4, 637-665 (2001). MSC: 35Q35 76N10 76N15 35L65 PDFBibTeX XMLCite \textit{Y. J. Kim}, Q. Appl. Math. 59, No. 4, 637--665 (2001; Zbl 1038.35072) Full Text: DOI
Hayes, Brian T.; Shearer, Michael A nonconvex scalar conservation law with trilinear flux. (English) Zbl 1026.35076 Q. Appl. Math. 59, No. 4, 615-635 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35L65 35B25 35L60 PDFBibTeX XMLCite \textit{B. T. Hayes} and \textit{M. Shearer}, Q. Appl. Math. 59, No. 4, 615--635 (2001; Zbl 1026.35076) Full Text: DOI
Tang, Huazhong; Tang, Tao; Wang, Jinghua On numerical entropy inequalities for a class of relaxed schemes. (English) Zbl 1031.65101 Q. Appl. Math. 59, No. 2, 391-399 (2001). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{H. Tang} et al., Q. Appl. Math. 59, No. 2, 391--399 (2001; Zbl 1031.65101) Full Text: DOI
Li, Jiequan; Yang, Hanchun Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics. (English) Zbl 1019.76040 Q. Appl. Math. 59, No. 2, 315-342 (2001). MSC: 76N10 76L05 35Q35 35L65 PDFBibTeX XMLCite \textit{J. Li} and \textit{H. Yang}, Q. Appl. Math. 59, No. 2, 315--342 (2001; Zbl 1019.76040) Full Text: DOI
Marcati, Pierangelo; Mei, Ming Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping. (English) Zbl 1040.35044 Q. Appl. Math. 58, No. 4, 763-784 (2000). MSC: 35L65 PDFBibTeX XMLCite \textit{P. Marcati} and \textit{M. Mei}, Q. Appl. Math. 58, No. 4, 763--784 (2000; Zbl 1040.35044) Full Text: DOI
Zhao, Huijiang Global existence in \(L^4(\mathbb{R}_+\times \mathbb{R})\) for a nonstrictly hyperbolic conservation law. (English) Zbl 1040.35045 Q. Appl. Math. 58, No. 4, 627-660 (2000). MSC: 35L65 PDFBibTeX XMLCite \textit{H. Zhao}, Q. Appl. Math. 58, No. 4, 627--660 (2000; Zbl 1040.35045) Full Text: DOI
Junca, S.; Rascle, M. Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations. (English) Zbl 1127.35354 Q. Appl. Math. 58, No. 3, 511-521 (2000). MSC: 35Q60 35L65 82D37 PDFBibTeX XMLCite \textit{S. Junca} and \textit{M. Rascle}, Q. Appl. Math. 58, No. 3, 511--521 (2000; Zbl 1127.35354) Full Text: DOI
Hsiao, Ling; Pan, Ronghua The linear stability of traveling wave solutions for a reacting flow model with source term. (English) Zbl 1157.35424 Q. Appl. Math. 58, No. 2, 219-238 (2000). MSC: 35L65 80A32 76N10 76V05 PDFBibTeX XMLCite \textit{L. Hsiao} and \textit{R. Pan}, Q. Appl. Math. 58, No. 2, 219--238 (2000; Zbl 1157.35424) Full Text: DOI
Ercole, Grey Delta-shock waves as self-similar viscosity limits. (English) Zbl 1157.35430 Q. Appl. Math. 58, No. 1, 177-199 (2000). MSC: 35L67 35L65 PDFBibTeX XMLCite \textit{G. Ercole}, Q. Appl. Math. 58, No. 1, 177--199 (2000; Zbl 1157.35430) Full Text: DOI
Zumbrun, Kevin On a nonlocal dispersive equation modeling particle suspensions. (English) Zbl 1020.35058 Q. Appl. Math. 57, No. 3, 573-600 (1999). MSC: 35L65 45K05 76T99 PDFBibTeX XMLCite \textit{K. Zumbrun}, Q. Appl. Math. 57, No. 3, 573--600 (1999; Zbl 1020.35058) Full Text: DOI
Vulkov, Lubin G. Conservation laws and symmetrization of the equations of incompressible inviscid fluids. (English) Zbl 1020.35057 Q. Appl. Math. 57, No. 3, 549-560 (1999). MSC: 35L65 76B99 PDFBibTeX XMLCite \textit{L. G. Vulkov}, Q. Appl. Math. 57, No. 3, 549--560 (1999; Zbl 1020.35057) Full Text: DOI
Otto, Felix A regularizing effect of nonlinear transport equations. (English) Zbl 0970.35115 Q. Appl. Math. 56, No. 2, 355-375 (1998). Reviewer: Stanislav Míka (Plzeň) MSC: 35Q35 35L65 47H20 35F25 76S05 82C70 PDFBibTeX XMLCite \textit{F. Otto}, Q. Appl. Math. 56, No. 2, 355--375 (1998; Zbl 0970.35115) Full Text: DOI
Hsiao, Ling; Luo, Tao Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping. (English) Zbl 0953.35094 Q. Appl. Math. 56, No. 1, 173-189 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 35L65 76N10 35D05 PDFBibTeX XMLCite \textit{L. Hsiao} and \textit{T. Luo}, Q. Appl. Math. 56, No. 1, 173--189 (1998; Zbl 0953.35094) Full Text: DOI
Frid, Hermano; Liu, I-Shih Oscillation waves in Riemann problems for phase transitions. (English) Zbl 0953.35103 Q. Appl. Math. 56, No. 1, 115-135 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 35M10 65M12 74A15 80A22 35L65 PDFBibTeX XMLCite \textit{H. Frid} and \textit{I-S. Liu}, Q. Appl. Math. 56, No. 1, 115--135 (1998; Zbl 0953.35103) Full Text: DOI
Shu, Chi-Wang; Zang, Yanni High-order essentially non-oscillatory scheme for viscoelasticity with fading memory. (English) Zbl 0885.65099 Q. Appl. Math. 55, No. 3, 459-484 (1997). Reviewer: M.Mock (Jerusalem) MSC: 65M06 35L65 74Hxx PDFBibTeX XMLCite \textit{C.-W. Shu} and \textit{Y. Zang}, Q. Appl. Math. 55, No. 3, 459--484 (1997; Zbl 0885.65099) Full Text: DOI
Hu, Jiaxin A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws. (English) Zbl 0877.35076 Q. Appl. Math. 55, No. 2, 361-373 (1997). Reviewer: A.Meister (Hamburg) MSC: 35L65 PDFBibTeX XMLCite \textit{J. Hu}, Q. Appl. Math. 55, No. 2, 361--373 (1997; Zbl 0877.35076) Full Text: DOI
Ostrov, Daniel N. Boundary conditions for chromatography reactors in a state of maximum mixedness. (English) Zbl 0859.35130 Q. Appl. Math. 54, No. 3, 571-582 (1996). MSC: 35Q80 35L60 35L65 PDFBibTeX XMLCite \textit{D. N. Ostrov}, Q. Appl. Math. 54, No. 3, 571--582 (1996; Zbl 0859.35130) Full Text: DOI
Hsiao, Ling; Tang, S. Q. Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping. (English) Zbl 0852.35095 Q. Appl. Math. 53, No. 3, 487-505 (1995). Reviewer: M.Tsuji (Kyoto) MSC: 35L65 35L67 35L45 PDFBibTeX XMLCite \textit{L. Hsiao} and \textit{S. Q. Tang}, Q. Appl. Math. 53, No. 3, 487--505 (1995; Zbl 0852.35095) Full Text: DOI
Rubino, Bruno Compactness framework and convergence of Lax-Friedrichs and Godunov schemes for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. (English) Zbl 0849.35073 Q. Appl. Math. 53, No. 3, 401-421 (1995). Reviewer: M.Shearer (Raleigh) MSC: 35L65 65M06 PDFBibTeX XMLCite \textit{B. Rubino}, Q. Appl. Math. 53, No. 3, 401--421 (1995; Zbl 0849.35073) Full Text: DOI
Joseph, K. T.; Sachdev, P. L. On the solution of the equation \(u_ t+u^ nu_ x+H(x,t,u)=0\). (English) Zbl 0806.35110 Q. Appl. Math. 52, No. 3, 519-527 (1994). MSC: 35L60 35L65 35A22 35B40 PDFBibTeX XMLCite \textit{K. T. Joseph} and \textit{P. L. Sachdev}, Q. Appl. Math. 52, No. 3, 519--527 (1994; Zbl 0806.35110) Full Text: DOI
Vulkov, L. G. Conservation laws in nonlinear elasticity. I: One-dimensional elastodynamics. (English) Zbl 0838.73018 Q. Appl. Math. 52, No. 3, 427-438 (1994). Reviewer: A.K.Mal (Los Angeles) MSC: 74B20 35L65 PDFBibTeX XMLCite \textit{L. G. Vulkov}, Q. Appl. Math. 52, No. 3, 427--438 (1994; Zbl 0838.73018) Full Text: DOI
Freistühler, Heinrich Separation of linear and nonlinear modes in a hyperbolic system describing electrophoresis. (English) Zbl 0804.35075 Q. Appl. Math. 52, No. 1, 31-34 (1994). Reviewer: E.V.Nicolau (Bucureşti) MSC: 35L65 35A22 PDFBibTeX XMLCite \textit{H. Freistühler}, Q. Appl. Math. 52, No. 1, 31--34 (1994; Zbl 0804.35075) Full Text: DOI
Tan, Dechun Riemann problem for hyperbolic systems of conservation laws with no classical wave solutions. (English) Zbl 0794.35103 Q. Appl. Math. 51, No. 4, 765-776 (1993). Reviewer: A.Doktor (Praha) MSC: 35L65 35L67 76L05 PDFBibTeX XMLCite \textit{D. Tan}, Q. Appl. Math. 51, No. 4, 765--776 (1993; Zbl 0794.35103) Full Text: DOI
Jie, Jiang; Wang, Xuekong A singular perturbation nonlinear boundary value problem and the \(E\)- condition for a scalar conservation law. (English) Zbl 0762.34037 Q. Appl. Math. 50, No. 3, 547-557 (1992). Reviewer: He Chungyou (Nanjing) MSC: 34E15 34B15 34D15 35L65 PDFBibTeX XMLCite \textit{J. Jie} and \textit{X. Wang}, Q. Appl. Math. 50, No. 3, 547--557 (1992; Zbl 0762.34037) Full Text: DOI
Tanuma, Kazumi Asymptotic formulas for the shock wave of the scalar conservation law with smooth initial data. (English) Zbl 0765.35028 Q. Appl. Math. 50, No. 1, 109-128 (1992). Reviewer: A.Corli (Ferrara) MSC: 35L67 35L65 35B40 PDFBibTeX XMLCite \textit{K. Tanuma}, Q. Appl. Math. 50, No. 1, 109--128 (1992; Zbl 0765.35028) Full Text: DOI
Fan, Haitao The structure of solutions of gas dynamic equations and the formation of the vacuum state. (English) Zbl 0739.35035 Q. Appl. Math. 49, No. 1, 29-48 (1991). Reviewer: S. Tersian (Russe) MSC: 35K57 35L65 76N15 35Q35 35Q15 PDFBibTeX XMLCite \textit{H. Fan}, Q. Appl. Math. 49, No. 1, 29--48 (1991; Zbl 0739.35035) Full Text: DOI
Lyperopoulos, Athanasios N. Asymptotic oscillations of solutions of scalar conservation laws with convexity under the action of a linear excitation. (English) Zbl 0729.35080 Q. Appl. Math. 48, No. 4, 755-765 (1990). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35L65 35B40 35L60 PDFBibTeX XMLCite \textit{A. N. Lyperopoulos}, Q. Appl. Math. 48, No. 4, 755--765 (1990; Zbl 0729.35080) Full Text: DOI
Serre, Denis Existence globale de solutions faibles sous une hypothèse unilaterale pour un système hyperbolique non linéaire. (Global existence of weak solutions to a nonlinear hyperbolic system under a unilateral hypothesis). (French) Zbl 0698.35098 Q. Appl. Math. 46, No. 1, 157-167 (1988). MSC: 35L65 35D05 PDFBibTeX XMLCite \textit{D. Serre}, Q. Appl. Math. 46, No. 1, 157--167 (1988; Zbl 0698.35098) Full Text: DOI
Antman, Stuart S.; Malek-Madani, Reza Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media. (English) Zbl 0677.73022 Q. Appl. Math. 46, No. 1, 77-93 (1988). Reviewer: A.Jeffrey MSC: 74J10 35L67 35L65 35L05 74D99 PDFBibTeX XMLCite \textit{S. S. Antman} and \textit{R. Malek-Madani}, Q. Appl. Math. 46, No. 1, 77--93 (1988; Zbl 0677.73022) Full Text: DOI